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What is the Least Common Multiple of 95827 and 95836?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 95827 and 95836 is 9183676372.

LCM(95827,95836) = 9183676372

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Least Common Multiple of 95827 and 95836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95827 and 95836, than apply into the LCM equation.

GCF(95827,95836) = 1
LCM(95827,95836) = ( 95827 × 95836) / 1
LCM(95827,95836) = 9183676372 / 1
LCM(95827,95836) = 9183676372

Least Common Multiple (LCM) of 95827 and 95836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95827 and 95836. First we will calculate the prime factors of 95827 and 95836.

Prime Factorization of 95827

Prime factors of 95827 are 79, 1213. Prime factorization of 95827 in exponential form is:

95827 = 791 × 12131

Prime Factorization of 95836

Prime factors of 95836 are 2, 13, 19, 97. Prime factorization of 95836 in exponential form is:

95836 = 22 × 131 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 95827 and 95836.

LCM(95827,95836) = 791 × 12131 × 22 × 131 × 191 × 971
LCM(95827,95836) = 9183676372